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Finding the Fourth Proportional to 8,832.33, 12,184.45 and 5,643.97

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Solution

The fourth proportional to 8,832.33, 12,184.45 and 5,643.97 is: 7,786.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.33 : 12,184.45 = 5,643.97 : x
  2. Step 2: Convert to fraction form
    8,832.33/12,184.45 = 5,643.97/x
  3. Step 3: Cross multiply
    8,832.33x = 12,184.45 × 5,643.97
  4. Step 4: Simplify right side
    8,832.33x = 68,768,625.70
  5. Step 5: Solve for x
    x = 68,768,625.70/8,832.33
  6. Step 6: Final answer
    x = 7,786.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.